Homotopy: Degree

Related lectures (31)

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Explores polynomial equations, their degree, solutions, and domain definition.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Delves into local degrees of continuous maps from the sphere, showcasing their role in calculating map degrees.

Explores infinity category theory, covering ABB, Kao-cosmos, homotopy, categories, and equivalences.

Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.

Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Covers the functional equation of zeta function and Jensen's formula in complex analysis.

Covers the structure of topological spaces with A-complexes and chain complexes.

Shows the equivalence between the index of a covering space's fundamental group and the degree of the covering space.